In this response to comments on my article, “The Chimera of Relativism,” in the same issue of *Common Knowledge* , by cognitive neuroscientist Andreas Roepstorff, classicist G. E. R. Lloyd, and anthropologist Martin Holbraad, I illustrate and reinforce Lloyd's cautions regarding the hazards of intercultural—here, Chinese-Western—comparisons in studies of culture and cognition. Examination of a foundational study in East-West cultural/cognitive differences cited by Roepstorff indicates extensive conceptual and methodological problems in that tradition of research. Although Holbraad champions a (...) more radical relativism than that offered in my work, the moves he urges have either been present in my work from the beginning or are both dubiously radical and otherwise undesirable. (shrink)

Shelly Kagan has recently defended the view that it is morally worse for a human being to suffer some harm than it is for a lower animal (such as a dog or a cow) to suffer a harm that is equally severe (ceteris paribus). In this paper, I argue that this view receives rather less support from our intuitions than one might at first suppose. According to Kagan, moreover, an individual’s moral status depends partly upon her ‘modal capacities.’ In this (...) paper, I argue that the most natural strategy for justifying Kagan’s theory faces some important challenges. More generally, I argue that philosophers who wish to defend the view that human beings have a higher moral status than that of the lower animals face a dilemma. Either their theory of moral status will imply (unacceptably) that some severely cognitively impaired human beings have a significantly lower moral status than that of typical human beings, or these philosophers will be forced to ground moral status in a set of properties so far removed from a subject’s actual capacities that it will become difficult to see why these kinds of properties should have such moral importance. (shrink)

The belief that some misfortunes are punishments sent from God has been affirmed by many different cultures and religions throughout human history. The belief has proved a pervasive one, and is still endorsed today by many adherents of the great western religions of the Judaeo-Christian tradition. Invariably, what is believed is that a present misfortune is divine punishment for a past sin. But could a present misfortune in fact be divine punishment for a future sin? That is, could God prepunish (...) people for their future transgressions? The aim of this paper will be to show that there are solid philosophical grounds for supposing that he could and would do so. (shrink)

Philosophical discussions of gentrification have tended to focus on residential displacement. However, the prevalence of residential displacement is fiercely contested, with many urban geographers regarding it as quite uncommon. This lends some urgency to the underexplored question of how one should evaluate other forms of gentrification. In this paper, I argue that one of the most important harms suffered by victims of displacement gentrification is loss of access to the goods conferred by membership in a thriving local community. Leveraging the (...) social scientific literature, I go on to argue that non-displacement gentrification also often damages local communities. One can hence extend existing philosophical critiques of displacement gentrification to argue that non-displacement gentrification likewise poses a threat to relational equality, and often violates certain basic occupancy rights. Focusing on the value that inheres in thriving local communities also suggests some new possibilities for critiquing gentrification. For instance, existing occupancy rights critiques focus on incumbent land users’ interests in stability. However, one can also argue in a Lockean mode that incumbent land users’ occupancy rights are at least partially grounded in their community having laboured together to create objects of value. An extension of Michael Walzer’s theory of justice to incorporate community goods as a separate ‘sphere’ might also have widespread appeal. Taken together, these arguments constitute a sustained and theoretically ecumenical case for the pro tanto moral objectionability of gentrification. (shrink)

We sley Salmon, in his influential and detailed book, Four Decades of Scientific Explanation, argues that the pragmatic approach to scientific explanation, “construed as the claim that scientific explanation can be explicated entirely in pragmatic terms” (1989, 185) is inadequate. The specific inadequacy ascribed to a pragmatic account is that objective relevance relations cannot be incorporated into such an account. Salmon relies on the arguments given in Kitcher and Salmon (1987) to ground this objection. He also suggests that Peter Railton’s (...) concepts of the ideal explanatory text and explanatory information (Railton 1981) can provide what the pragmatic approach lacks. This suggestion is not a conclusion of course; we read it as the promotion of part of a research program aimed at forging a greater consensus on scientific explanation-an admirable goal. However, we do not see the pragmatic approach as inadequate. We will show that a synthetic account inspired by Salmon’s adaptation of Railton would be equivalent to van Fraassen’s pragmatic account in three respects: accepting or rejecting requests for explanation; the practice of giving scientific explanations; and the evaluation of the goodness of explanations. We include all three under the general rubric of explanatory “practice.” Admittedly these are not the only three features by which an account of explanation might be evaluated. Roughly, we mean to show that a synthetic account cannot do a better job of accounting for the scientific practices which are of importance to the constructive empiricist, and therefore no argument can be presented to the constructive empiricist to convince her that by her own standards the synthetic account is superior. (shrink)

This paper defends the claim that mere temporal proximity always and without exception strengthens certain moral duties, including the duty to save – call this view Robust Temporalism. Although almost all other moral philosophers dismiss Robust Temporalism out of hand, I argue that it is prima facie intuitively plausible, and that it is analogous to a view about special obligations that many philosophers already accept. I also defend Robust Temporalism against several common objections, and I highlight its relevance to a (...) number of practical policy debates, including longtermism. My conclusion is that Robust Temporalism is a moral live option, that deserves to be taken much more seriously in the future. (shrink)

Moral latitude is only ever a matter of coincidence on the most popular decision procedure in the literature on moral uncertainty. In all possible choice situations other than those in which two or more options happen to be tied for maximal expected choiceworthiness, Maximize Expected Choiceworthiness implies that only one possible option is uniquely appropriate. A better theory of appropriateness would be more sensitive to the decision maker’s credence in theories that endorse agent-centred prerogatives. In this paper, we will develop (...) and defend a modified version of this view that allows for agent-centred prerogatives and supererogation as part of its verdicts about appropriateness. (shrink)

Dispositions are modal properties. The standard conception of dispositions holds that each disposition is individuated by its stimulus condition(s) and its manifestation(s), and that their modality is best captured by some conditional construction that relates stimulus to manifestation as antecedent to consequent. I propose an alternative conception of dispositions: each disposition is individuated by its manifestation alone, and its modality is closest to that of possibility — a fragile vase, for instance, is one that can break easily. The view is (...) expounded in some detail and defended against the major objections. (shrink)

Abilities are in many ways central to what being an agent means, and they are appealed to in philosophical accounts of a great many different phenomena. It is often assumed that abilities are some kind of dispositional property, but it is rarely made explicit exactly which dispositional properties are our abilities. Two recent debates provide two different answers to that question: the new dispositionalism in the debate about free will, and virtue reliabilism in epistemology. This paper argues that both answers (...) fail as general accounts of abilities, and discusses the ramifications of this result. (shrink)

A question that has been largely overlooked by philosophers of religion is how God would be able to effect a rational choice between two worlds of unsurpassable goodness. To answer this question, I draw a parallel with the paradigm cases of indifferent choice, including Buridan's ass, and argue that such cases can be satisfactorily resolved provided that the protagonists employ what Otto Neurath calls an ‘auxiliary motive’. I supply rational grounds for the employment of such a motive, and then argue (...) against the views of Leibniz and Nicholas Rescher to show that this solution would also work for God. (shrink)

It is a familiar point that many ordinary dispositions are multi-track, that is, not fully and adequately characterisable by a single conditional. In this paper, I argue that both the extent and the implications of this point have been severely underestimated. First, I provide new arguments to show that every disposition whose stimulus condition is a determinable quantity must be infinitely multi-track. Secondly, I argue that this result should incline us to move away from the standard assumption that dispositions are (...) in some way importantly linked to conditionals, as presupposed by the debate about various versions of the ‘conditional analysis’ of dispositions. I introduce an alternative conception of dispositionality, which is motivated by linguistic observations about dispositional adjectives and links dispositions to possibility instead of conditionals. I argue that, because of the multi-track nature of dispositions, the possibility-based conception of dispositions is to be preferred. (shrink)

The concept of the best of all possible worlds is widely considered to be incoherent on the grounds that, for any world that might be termed the best, there is always another that is better. I note that underlying this argument is a conviction that the goodness of a world is determined by a single kind of good, the most plausible candidates for which are not maximizable. Against this I suggest that several goods may have to combine to determine the (...) goodness of a world, and because of logical conflicts between them, the goods can be optimized to give a genuine best of all possible worlds. (shrink)

A fresh translation and in-depth commentary of Leibniz's seminal text, the Monadology. -/- Written in 1714, the Monadology is widely considered to be the classic statement of Leibniz's mature philosophy. In the space of 90 numbered paragraphs, totalling little more than 6000 words, Leibniz outlines - and argues for - the core features of his philosophical system. Although rightly regarded as a masterpiece, it is also a very condensed work that generations of students have struggled to understand. -/- Lloyd (...) Strickland presents a new translation of the Monadology, alongside key parts of the Theodicy, and an in-depth, section-by-section commentary that explains in detail not just what Leibniz is saying in the text but also why he says it. The sharp focus on the various arguments and other justifications Leibniz puts forward makes possible a deeper and more sympathetic understanding of his doctrines. (shrink)

Williamsonian modal epistemology is characterized by two commitments: realism about modality, and anti-exceptionalism about our modal knowledge. Williamson’s own counterfactual-based modal epistemology is the best known implementation of WME, but not the only option that is available. I sketch and defend an alternative implementation which takes our knowledge of metaphysical modality to arise, not from knowledge of counterfactuals, but from our knowledge of ordinary possibility statements of the form ‘x can F’. I defend this view against a criticism indicated in (...) Williamson’s own work, and argue that it is better connected to the semantics of modal language. (shrink)

According to essentialism, metaphysical modality is founded in the essences of things, where the essence of a thing is roughly akin to its real definition. According to potentialism (also known as dispositionalism), metaphysical modality is founded in the potentialities of things, where a potentiality is roughly the generalized notion of a disposition. Essentialism and potentialism have much in common, but little has been written about their relation to each other. The aim of this paper is to understand better the relations (...) between essence and potentiality, on the one hand, and between essentialism and potentialism, on the other. It is argued, first, that essence and potentiality are not duals but interestingly linked by a weaker relation dubbed ‘semi-duality’; second, that given this weaker relation, essentialism and potentialism are not natural allies but rather natural competitors; and third, that the semi-duality of essence and potentiality allows the potentialist to respond to an important explanatory challenge by using essentialist resources without thereby committing to essentialism. (shrink)

In early modern times it was not uncommon for thinkers to tease out from the nature of God various doctrines of substantial physical and metaphysical import. This approach was particularly fruitful in the so-called beast-machine controversy, which erupted following Descartes’ claim that animals are automata, that is, pure machines, without a spiritual, incorporeal soul. Over the course of this controversy, thinkers on both sides attempted to draw out important truths about the status of animals simply from the notion or attributes (...) of God. Automatists – led by Nicolas Malebranche and Antoine Dilly – developed six such arguments, appealing to divine justice, providence, economy, glory (twice) and wisdom, while opponents to animal automatism developed two arguments, appealing to divine wisdom and goodness. In this article I shall examine the substance of all eight of these arguments, along with their origins, patronage, and variations, and the objections they elicited from opponents, with the aim of determining their suitability for use in contemporary debates about animal sentience and consciousness, and hence their relevance for contemporary philosophers. (shrink)

According to ecological psychology, animals perceive not just the qualities of things in their environment, but their affordances: in James Gibson’s words, ’what things furnish, for good or ill’. I propose a metaphysics for affordances that fits into a contemporary anti-Humean metaphysics of powers or potentialities. The goal is to connect two debates, one in the philosophy of perception and one in metaphysics, that stand to gain much from each other.

On 1 November 1755, the city of Lisbon in Portugal was virtually destroyed by the largest documented seismic event ever to hit Europe. It is often claimed that the catastrophe severely damaged the plausibility of Leibniz’s optimism, and even the wider project of theodicy. Leibniz died several decades before the Lisbon earthquake struck, and so was unable to address it and the challenges thrown up by it, which would have included an account of how the event was consistent with God’s (...) providence. Contemporary scholars are of the view that Leibniz explained natural disasters like earthquakes as nothing more than the unfortunate consequences of the normal workings of simple laws of nature, and that God permits such disasters to happen because it would be unworthy of him to overrule the laws he has established. There certainly is this line of thinking in Leibniz’s writings, but it is far from being the whole story, as we shall see. The aim of this paper is to determine what Leibniz’s response to the Lisbon earthquake would have been, had he lived to know about the event. (shrink)

As well as disagreeing about how much one should donate to charity, moral theories also disagree about where one should donate. In light of this disagreement, how should the morally uncertain philanthropist allocate her donations? In many cases, one intuitively attractive option is for the philanthropist to split her donations across all of the charities that are recommended by moral views in which she has positive credence, with each charity’s share being proportional to her credence in the moral theories that (...) recommend that particular charity. Despite the fact that something like this approach is already being used by real-world philanthropists to distribute billions of dollars of donations, it is not supported by any of the approaches to moral uncertainty that have been proposed thus-far in the philosophical literature. In this paper, we will develop a bargaining-based approach to moral uncertainty that honors the proportionality intuition in favor of splitting one’s donations. We also show how this bargaining-based approach has several further advantages over the best alternative proposals. (shrink)

Dispositionalists try to provide an account of modality—possibility, necessity, and the counterfactual conditional—in terms of dispositions. But there may be a tension between dispositionalist accounts of possibility on the one hand, and of counterfactuals on the other. Dispositionalists about possibility must hold that there are no impossible dispositions, i.e., dispositions with metaphysically impossible stimulus and/or manifestation conditions; dispositionalist accounts of counterfactuals, if they allow for non-vacuous counterpossibles, require that there are such impossible dispositions. I argue, first, that there are in (...) fact no impossible dispositions; and second, that the dispositionalist can nevertheless acknowledge the non-vacuity of some counterpossibles. The strategy in the second part is one of ‘divide and conquer’ that is not confined to the dispositionalist: it consists in arguing that counterpossibles, when non-vacuous, are read epistemically and are therefore outside the purview of a dispositional account. (shrink)

This paper surveys recent "new actualist" approaches to modality that do without possible worlds and locate modality squarely in the actual world. New actualist theories include essentialism and dispositionalism about modality, each of which can come in different varieties. The commonalities and differences between these views, as well as their shared motivations, are layed out.

Modal dispositionalism is the view that possibilities are a matter of the dispositions of individual objects: it is possible that p if and only if something has a disposition for p to be the case. We raise a problem for modal dispositionalism: nothing within the theory rules out that there could be necessary, perfect masks, which make the manifestation of a disposition impossible. Unless such necessary perfect masks are ruled out, modal dispositionalism runs the risk of failing to provide a (...) sufficient condition for possibility, and indeed of engendering contradictions. But to rule them out, modal dispositionalism would have to revise a crucial tenet of the view, its localism. (shrink)

This paper explores the prospects for dispositional accounts of abilities. According to so-called new dispositionalists, an agent has the ability to Φ iff they have a disposition to Φ when trying to Φ. We show that the new dispositionalism is beset by some problems that also beset its predecessor, the conditional analysis of abilities, and bring up some further problems. We then turn to a different approach, which links abilities not to motivational states but to the notion of success, and (...) consider ways of implementing that approach. Our results suggest that there are principled disanalogies between abilities and disposition which prevent any dispositional account of abilities from succeeding. (shrink)

This paper is concerned with Leibniz’s Egypt Plan, written in 1671 and 1672, when Leibniz was in the service of the Elector of Mainz. One of the aims of this paper is to offer a more balanced and plausible reading of the religious benefits of war that Leibniz outlines in his Egypt plan.

Leibniz’s claim that this is the best of all possible worlds has been subject to numerous criticisms, both from his contemporaries and ours. In this paper I investigate a cluster of such criticisms based on the existence, abundance or character of worldly evil. As several Leibniz-inspired versions of optimism have been advanced in recent years, the aim of my investigation is to assess not just how Leibniz’s brand of optimism fares against these criticisms, but also whether optimism as a philosophy (...) has the resources to meet these challenges. I show that none of the criticisms considered has sufficient force to pose a threat to Leibniz’s version of optimism or to one modelled on it. (shrink)

In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converg-ing series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz’s various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the (...) question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. (shrink)

This article offers an extensive study of the idea of an animal afterlife in seventeenth-century England. While some have argued that the idea of an animal afterlife became prevalent at the time due to increased awareness of animals’ mental abilities, others have suggested it was due to greater sensitivity to animal suffering and the perceived need to square this suffering with divine justice. I show that both views are incorrect, and that seventeenth-century thinking about an animal afterlife was first and (...) foremost grounded in, and shaped by, speculations about end times and the restored creation based on a literal reading of a key passage in Paul’s letter to the Romans (8:19–22), which thus served as the sedes doctrinae throughout the seventeenth century. Lastly, I show that those who entertained a future life for beasts also supposed that animals would have a functional role therein, considering animals as being present in the restored creation to serve some spiritual end rather than as being true beneficiaries in their own right. (shrink)

My aim in this paper is to sketch, with a broad brush and in bare outlines, an approach to modal epistemology that is characterized by three distinctive features. First, the approach is agency-based: it locates the roots of our modal thought and knowledge in our experience of our own agency. Second, the approach is ambitious in that it takes the experience of certain modal properties in agency to be the sole distinctive feature of specifically modal thought and knowledge; everything that (...) we know about modality beyond the experience of agency is a matter of applying standard methods of inquiry such as deduction, induction and abductive methods for choosing between theories. Third, the account holds that modal thought and knowledge is, first and foremost, about modal properties that are sufficiently like those encountered in agency. (shrink)

Gottfried Wilhelm Leibniz (1646–1716) was a universal genius, making original contributions to law, mathematics, philosophy, politics, languages, and many areas of science, including what we would now call physics, biology, chemistry, and geology. By profession he was a court counselor, librarian, and historian, and thus much of his intellectual activity had to be fit around his professional duties. Leibniz’s fame and reputation among his contemporaries rested largely on his innovations in the field of mathematics, in particular his discovery of the (...) calculus in 1675. Another of his enduring mathematical contributions was his invention of binary arithmetic, though the significance of this was not recognized until the 20th century. These days, a good proportion of scholarly interest in Leibniz is focused on his philosophy. Among his signature philosophical doctrines are the pre-established harmony, the theory of monads, and the claim that ours is the best of all possible worlds, which forms the central plank of his theodicy. For Leibniz, philosophy was not the discovery of deep truths of interest only to other philosophers, but a practical discipline with the means to increase happiness and well-being. Philosophical truths, he believed, revealed the beauty and rational order of the universe, and the justice and wisdom of its creator, and accordingly could inspire contentment and peace of mind. Leibniz’s other intellectual projects were likewise geared toward the improvement of the human condition. He lobbied tirelessly for the establishment of scientific societies, devised measures to improve public health, and was actively engaged in projects to unite the churches and so end the religious strife that marred the Europe of his day. He was also engaged in politics for much of his career, and often took on a diplomatic role, sometimes officially and other times not. In the political sphere, Leibniz did not wield true power but was a man with influence, obtained in no small part by his cultivation of relationships with leaders and sovereigns both inside and outside Germany. The sheer range of Leibniz’s interests, projects, and activities can make him a difficult figure to study, and the vast quantity of his writings only compounds the problem (around fifty thousand of his writings survive). Nevertheless, even a sampling of Leibniz’s work is enough to get a sense of his vision, originality, and intellectual depth, and good secondary literature will only enhance this. The items in this bibliography were chosen with this in mind. (shrink)

In recent decades, philosophers and theologians have become increasingly aware of the extent of animal pain and suffering, both past and present, and of the challenge this poses to God’s goodness and justice. As a result, a great deal of effort has been devoted to the discussion and development of animal theodicies, that is, theodicies that aim to offer morally sufficient reasons for animal pain and suffering that are in fact God’s reasons. In this paper, I ask whether there is (...) a need to go even further than this, by considering whether effort should be made to extend theodicy to include plants as well. Drawing upon ideas found in some recent animal theodicies as well as in the work of some environmental ethicists, I offer three arguments for supposing that plants should indeed fall within the purview of theodicy: the argument from non-flourishing as evil, the argument from moral considerability, and the argument from intrinsic value. I also consider a possible objection to each of these arguments. Having outlined and defended the aforementioned arguments for broadening theodicy to include plants as well as humans and animals, I conclude by considering what a plant theodicy might look like. (shrink)

Education is essential to life, and the epidemic affected everything. Parents want to get their kids the most important teaching. However, since COVID-19 has affected schools and other institutions, providing education has become the most significant issue. Online learning pedagogy uses technology to provide high-quality learning environments for student-centered learning. Further, this study explores the experiences and challenges faced by Filipino tertiary students regarding the lack of gadgets amidst online learning. Employing the Interpretative Phenomenological Analysis, the findings of this study (...) were: Some college students still have difficulty with online learning. Attending online classes is difficult, especially for students with limited resources. Smartphones, other gadgets, and internet connections play a significant role in online classrooms because they are the ones that students utilize while learning online, which is essential for successful participation in online higher education as well as for solving a variety of other difficulties in the new normal. Further, College students face similar health challenges. Having an online learning setup is not just about students' struggles with learning resources but also about their health issues. When our respondents used their smartphones for an extended period, they reported eye aches and blurred vision. They also said that some of their body parts, such as their legs and back, are aching, and feel pressured because they tend to overthink things in their surroundings, which causes them incredible difficulty in performing their best in attending online classes. Even though college students continue to suffer from a lack of learning resources during online sessions, they do their best to manage their needs and the scarcity of learning resources. Students have unique coping methods for dealing with difficulties in online classes. (shrink)

Dispositionalism about modality is the view that metaphysical modality is a matter of the dispositions possessed by actual objects. In a recent paper, David Yates has raised an important worry about the formal adequacy of dispositionalism. This paper responds to Yates’s worry by developing a reply that Yates discusses briefly but dismisses as ad hoc: an appeal to a ’plenitude of powers’ including such powers as the necessarily always manifested power for 2+2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} (...) \begin{document}$$2+2$$\end{document} to be 4. I argue that the reply is not ad hoc at all, by defending the metaphysics of dispositions that should underly it. I then argue, first, that a proper understanding of dispositions’ degrees provides us with an argument for such necessarily always manifested dispositions; second, that all the natural attempts to block that argument can be resisted without being ad hoc; and third, that pragmatic considerations explain our intuitive resistance to the ascription of necessarily always manifested dispositions. Dispositionalism can be formally adequate after all. (shrink)

LEIBNIZ AND THE TWO SOPHIES is a critical edition of all of the philosophically important material from the correspondence between the philosopher Gottfried Wilhelm Leibniz (1646-1716) and his two royal patronesses, Electress Sophie of Hanover (1630-1714), and her daughter, Queen Sophie Charlotte of Prussia (1668-1705). In this correspondence, Leibniz expounds in a very accessible way his views on topics such as the nature and operation of the mind, innate knowledge, the afterlife, ethics, and human nature. The correspondence also contains the (...) only known philosophical writings by Sophie and Sophie Charlotte, and thus provides a valuable insight into their views and concerns, as well as throwing light on their characters. The texts are accompanied by a substantial introductory essay which sets the context for the correspondence and analyzes its main philosophical themes. (shrink)

The “Discourse on Metaphysics” is widely considered to be Leibniz’s most important philosophical work from his so-called “middle period”. Written early in 1686, when Leibniz was 39 years old, it consolidates a number of philosophical ideas that he had developed and sketched out in the years beforehand in a host of short private essays, fragments, and letters. This chapter guides the reader through the key themes of the “Discourse”, such as God’s choice of the best, the nature of substance, final (...) causes, and the relationship between soul and body. The essay concludes with a consideration of what prompted Leibniz to write the “Discourse”; I suggest that the “Discourse” is likely to have been conceived as an attempt to reach supporters of Descartes and Malebranche, not only to challenge key tenets of their respective philosophies but also to present a viable alternative. (shrink)

This chapter examines the pioneering work of Gottfried Wilhelm Leibniz (1646-1716) on various number systems, in particular binary, which he independently invented in the mid-to-late 1670s, and hexadecimal, which he invented in 1679. The chapter begins with the oft-debated question of who may have influenced Leibniz’s invention of binary, though as none of the proposed candidates is plausible I suggest a different hypothesis, that Leibniz initially developed binary notation as a tool to assist his investigations in mathematical problems that were (...) exercising him at the time, namely those concerning the divisibility of composite numbers, primality, and perfect numbers. The chapter then explores Leibniz’s development of binary, his little-known work on binary fractions and expansions, his use of binary as a symbol for creation in his philosophical-theology, and his response to the suggestion that there was a correlation between binary numeration and the hexagrams of the ancient Chinese divinatory text, the Yijing. The chapter then focuses on Leibniz’s work on other number systems, in particular his invention and exploration of hexadecimal as well as his work on duodecimal. The chapter concludes by revealing a hitherto unknown practical application of binary that Leibniz devised in the last year of his life. (shrink)

Two major clarifications have greatly abetted the understanding and fruitful expansion of the theory of natural selection in recent years: the acknowledgment that interactors, not replicators, constitute the causal unit of selection; and the recognition that interactors are Darwinian individuals, and that such individuals exist with potency at several levels of organization (genes, organisms, demes, and species in particular), thus engendering a rich hierarchical theory of selection in contrast with Darwin’s own emphasis on the organismic level. But a piece of (...) the argument has been missing, and individuals at levels distinct from organisms have been denied potency (although granted existence within the undeniable logic of the theory), because they do not achieve individuality with the same devices used by organisms and therefore seem weak by comparison. We show here that different features define Darwinian individuality across scales of size and time. In particular, species-individuals may develop few emergent features as direct adaptations. The interactor approach works with emergent fitnesses, not with emergent features; and species, as a consequence of their different mechanism for achieving individuality (reproductive exclusivity among subparts, that is, among organisms), express many effects from other levels. Organisms, by contrast, suppress upwardly cascading effects, because the organismic style of individuality (by functional integration of subparts) does not permit much competition or differential reproduction of parts from within. Species do not suppress the operation of lower levels; such effects therefore become available as exaptations conferring emergent fitness—a primary source of the different strength that species achieve as effective Darwinian individuals in evolution. (shrink)

** This piece was originally titled "Beyond Borders: Exploring Ubuntu as a Lived Philosophy" but was later retitled "African thought can rescue Western philosophy" by the publisher. ** -/- Western philosophy is often abstract and disconnected from the real ethical problems we face today. Emmanuel Chiwetalu Ossai and Lloyd Strickland argue that the African philosophy of ubuntu, with its emphasis on community, interconnectedness, and practical application of ethical principles, offers a compelling alternative.

Manley and Wasserman (2008) have provided a convincing case against analyses of dispositions in terms of one conditional, and a very interesting positive proposal that links any disposition to a ‘suitable proportion’ of a particular set of precise conditionals. I focus on their positive proposal and ask just how precise those conditionals are to be. I argue that, contrary to what Manley and Wasserman imply in their paper, they must be maximally specific, describing in their antecedents complete centred worlds. This (...) suggests a natural semantics for dispositional expressions, which I briefly explore to argue that it lacks uniformity. I end by suggesting a variation on Manley and Wasserman's view which would preserve uniformity, though at the cost of some new puzzling questions. (shrink)

Mein Ziel in dieser Arbeit ist es zu bestimmen, in welchem Umfang Leibniz moderne Ansichten in drei Bereichen der Biologie vertreten hat, nämlich in der Frage zum Ursprung von Fossilien, zum Aussterben von Arten und zur Evolution von Arten. In neuerer Zeit haben Forscher behauptet, Leibniz hätte folgende Thesen akzeptiert: (1) Fossilien haben einen organischen Ursprung; (2) einige Arten sind ausgestorben; (3) einige Arten haben sich im Laufe der Zeit entwickelt. Anhand der Betrachtung einer Reihe von Leibniz' Schriften, eingeschlossen solche, (...) die vielfach übersehen wurden, zeige ich, dass diese Behauptungen falsch und dass Leibniz' tatsächliche Ansichten zu diesen Fragen wie folgt sind: (1) einige Fossilien haben einen organischen Ursprung; (2) während die Arten selbst nicht ausgestorben sind, sind es aber einige Unterarten; (3) während sich die Arten selbst nicht entwickelt haben, hat es Evolution innerhalb von Artengruppen gegeben. Diese Ansichten, so meine Argumentation, sind überhaupt nicht besonders „modern", und sie fielen mit Sicherheit nicht aus dem Rahmen des späten 17. und frühen 18. Jahrhunderts. (shrink)